Practice Similarity in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Two figures are similar if they have the same shape but possibly different sizes.
A photo and its enlargement are similar—same shape, different size.
Example 1
mediumTriangle ABC is similar to triangle DEF. If AB = 6, BC = 8, AC = 10, and DE = 9, find EF and DF.
Example 2
hardA tree casts a 15 m shadow at the same time a 2 m pole casts a 3 m shadow. How tall is the tree?
Example 3
mediumTwo similar rectangles have widths of 4 cm and 10 cm. If the smaller rectangle has a length of 6 cm, find the length of the larger rectangle.
Example 4
mediumTwo similar triangles have corresponding side lengths in the ratio 3:5. If the perimeter of the smaller triangle is 27 cm, find the perimeter of the larger triangle.